Gate theory
A NAND gate is the inverse of an AND gate and produces a low output only when all inputs are high.
Computer Science Logic Gates
NAND Gate Simulator With Truth Table
Experiment with the NAND gate, a universal logic gate that gives 0 only when every input is 1. Learn the Boolean expression, input-output behavior, and digital circuit logic through a focused OpenLabs interactive simulator.
Logic Gate Lab
NAND Gate
NAND
Y = (A . B)'
Truth Table
| A | B | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
Toggle the inputs in the lab to watch this table become live circuit behavior.
Input switching
Change binary inputs and observe how the output responds in real time.
Truth table
Map every possible input combination to the correct digital output.
Circuit logic
Connect Boolean algebra with the digital building blocks used inside computers.
Learn by simulating
Understand NAND gate logic through live input-output behavior
NAND logic is useful because it can be combined to build every other basic logic gate, including AND, OR, and NOT. The simulator helps students connect symbols, Boolean expressions, truth tables, and circuit output without needing physical hardware.
Understand NAND gate truth table behavior.
Learn why NAND is called a universal gate.
Compare NAND output with AND output.
Use input switching to observe inverted AND logic.
Where this gate is used
- Universal gate circuit design
- Memory and latch circuits
- Digital logic simplification
- Computer architecture fundamentals
How the interactive lab works
Open the NAND gate lab, toggle the binary input controls, and watch the output update immediately. The visual circuit and truth table make each Boolean result easier to verify.
Digital Logic Curriculum
View All Logic GatesExplore Sibling Logic Gates & Circuits
AND GateY = A . B
AND Gate
Explore the AND gate by switching inputs, reading the truth table, and seeing why the output becomes 1 only when every input is 1.
NOR GateY = (A + B)'
NOR Gate
Use the NOR gate simulator to see why the output is 1 only when every input is 0.
NOT GateY = A'
NOT Gate
Explore the NOT gate by switching one input and watching the output invert instantly.
OR GateY = A + B
OR Gate
Explore the OR gate and see why the output becomes 1 when at least one input is 1.
XNOR GateY = (A xor B)'
XNOR Gate
Use the XNOR gate simulator to see why the output is 1 when both inputs are the same.
XOR GateY = A xor B
XOR Gate
Explore the XOR gate and see why the output becomes 1 only when the two inputs are different.
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NAND Gate FAQs
What is a NAND gate?
A NAND gate is a digital gate that outputs the opposite result of an AND gate.
Why is NAND called a universal gate?
NAND is called universal because combinations of NAND gates can create all other basic logic gates.
When does a NAND gate output 0?
A NAND gate outputs 0 only when all of its inputs are 1.
Ready to test the NAND gate?
Toggle inputs, verify the truth table, and build confidence with digital logic through a live OpenLabs simulator.